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GuidanceNotes for Teachers

•Some indication of content and range at level 1 and 2 is shown on the next slide. •Relevant slides show all the diagrams/questions/answers that are required.

•End slides have student question sheets and a teacher question/answer sheet.

•End slides have printable worksheets for students. Calculator symbols are suggestions only and could be removed depending on the group. The vast majority of questions in this presentation are designed to be non-calculator.

Generic Advice: The preparation below is advisable in the majority of presentations.

1. Print off the teacher question and answer sheets/worksheets

2. Print off the student question sheets/worksheets

3. Run through the presentation yourself answering the questions

4. Decide how you are going to deliver the presentation. (a) Are you going to go through it from start to finish with the class, perhaps using it as an example/demonstration of functional maths and focusing on the development of the processing skills involved at each stage? (b) Are you going to use only part of the presentation? (c) Are you simply going to use the presentation to introduce the activity and let the class work on their own through the question sheets but refer to some of the elements/answers within the presentation when needed?

5. Remember the slides are editable so if you wish to introduce an open question/small investigation of your own then simply choose the relevant slide add/delete your own text (using a text box if needed).

Content and Skills

Coverage and range: Level 1

Understand and use whole numbers and recognise negative numbers in practical contexts

Add, subtract, multiply and divide using a range of mental methods

Multiply and divide whole numbers by 10 and 100 using mental arithmetic

Understand and use equivalences between common fractions, decimals and percentages

Add and subtract decimal up to two decimal places

Solve simple problems involving ratio, where one number is a multiple of the other

Use simple formulae expressed in words for one- or two-step operations

Solve problems requiring calculation with common measures including money, time, length, weight, capacity and temperature

Convert units of measure in the same system

Work out areas, perimeters and volumes in practical situations

Construct models and draw shapes, measuring and drawing angles and identifying line symmetry

Extract and interpret information from tables, diagrams, charts and graphs

Collect and record discrete data and organise and represent information in different ways

Find mean and range

Use probability to show that some events are more likely to occur than others

Understand outcomes, check calculations and explain results

Understand and use positive and negative numbers of any size in practical contexts

Carry out calculations with numbers of any size in practical contexts

Understand, use and calculate ratio and proportion, including problems involving scale

Understand and use equivalences between fractions, decimals and percentages

Add and subtract fractions; add, subtract, multiply and divide decimals to a given number of decimal places

Understand and use simple equations and simple formulae involving one- or two-step operations

Recognise and use 2D representations of 3D objects.

Find area, perimeter and volume of common shapes

Use, convert and calculate using metric and, where appropriate, imperial measures

Collect and represent discrete and continuous data, using ICT where appropriate

Use and interpret statistical measures, tables and diagrams, for discrete and continuous data using ICT where appropriate

Use statistical methods to investigate situations

Use a numerical scale from 0 to 1 to express and compare probabilities

Title: Designing a Bedroom

Content and skills covered

Coverage and range: Level 2

At least 1 from each area

What mathematics might be involved in designing the layout of a bedroom?

Designing A Bedroom

Bethan and her parents have just moved into a new home. She has been given a budget of £1200 by her parents to design the layout of her bedroom. This will include the cost of all furniture, carpets and curtains, as well as paint and decoration for the walls.

To keep the cost down Bethan decides that after painting and carpeting the room she will choose some self-assembly furniture from a catalogue.

Carpeting

6m

3½m

WindowDoor

2m

1½m

WindowDoor

2m

1m

Designing A Bedroom

An outline plan of Bethan’s bedroom is shown below.

Height of ceiling = 2.3m

Q1. Calculate the area of the floor space in preparation for carpeting. 21m2

Q2. Bethan orders a carpet in the sale from “Comfort Carpets”. She wants a fully-fitted Saxony cut from the 4m roll. How much does this cost her? (nearest £)

£259

*

6m

3½m

WindowDoor

2m

1½m

WindowDoor

2m

1m

Designing A Bedroom

An outline plan of Bethan’s bedroom is shown below.

Height of ceiling = 2.3m

Q3. Calculate the wastage. 3m2

Q4. What proportion of carpet is wasted? Express this as: (a) A fraction (b) A decimal (c) A percentage

1/80.125

12.5%

*

6m

3½m

WindowDoor

2m

1½m

WindowDoor

2m

1m

Designing A Bedroom

An outline plan of Bethan’s bedroom is shown below.

Height of ceiling = 2.3m

Q5. Underlay costs £3.50/m2 and the cost of fitting the carpet is £30. Calculate the total cost of carpeting the floor? (nearest £) £363

*

Painting

6m

3½m

WindowDoor

2m

1½m

WindowDoor

2m

1m

Designing A Bedroom

An outline plan of Bethan’s bedroom is shown below.

Height of ceiling = 2.3m

Q6. While Bethan waits for delivery of the carpet she starts to think about painting the room. Work out the perimeter of the room for her. 19m

Q7. Calculate the area of the walls to be painted excluding the door and window.43.7 – 5 =

38.7m2Q8. 1 litre of wall paint covers an area of 12m2. Calculate the minimum number of tins needed if Bethan decides to give each wall two coats. 7

*

6m

3½m

WindowDoor

2m

1½m

WindowDoor

2m

1m

Designing A Bedroom

An outline plan of Bethan’s bedroom is shown below.

Height of ceiling = 2.3m

Q9. How many litre tins of ceiling paint will she need? (2 coats)

4

Q10. The cost of the wall paint was £7.50/can. The ceiling paint only cost her £18 as she bought a five litre tin. The gloss paint for door frames and skirting boards cost her £6.50. Calculate the total cost of painting the room (nearest £).

£77

*

Furniture

Designing A BedroomQ11. The prices of the items that she bought for her bedroom are

shown in the diagram below. What is the ratio of the price of the bed, to the price of the chest of drawers? 3:1

Bed: £240

Bedside Cabinet

£35 x2

Double Wardrobe

£100

Chest of Drawers

£80

Single Wardrobe

£75

Book Case

£45

Large Mirror

£40

Wall Mirror

£30

Q12. What percentage of the large mirror price is the wall mirror price? 75%

Q13. What fraction of the single wardrobe price is the book case price? 3/5

Table £60

Chair £20

x2

Q14. Give the answer to Q13 as: (a) A decimal (b) A percentage

0.660%

*

Designing A BedroomQ15. Calculate the total cost of all the items of furniture that Bethan

bought from the catalogue. £780

Bed: £240

Bedside Cabinet

£35 x2

Double Wardrobe

£100

Chest of Drawers

£80

Single Wardrobe

£75

Book Case

£45

Large Mirror

£40

Wall Mirror

£30

Table £60

Chair £20

x2

Q16. The curtains for the window cost £60. Was Bethan over budget or under budget by the time she had made all the purchases and completely finished her bedroom. Show all your working.Over budget by £80.

(£780 + £363 + £77 + £60 = £1280)

*

In the diagram below, the dimensions indicated, will appear next to the bedroom furniture in the order width x depth. As an example consider the plan view of the double wardrobe first.

1m x ½m

Width

1m

½m

Double wardrobe

Plan View

Width

The exception to this is the bed which has the dimensions indicated.

Length 2m, width 1½m

½m x ½m

½m x ½m 1m x ½m

½m x ¼m¾ m x 0.1m

1½ m x ¾m

Q17. Make a scale drawing of the bedroom on the grid supplied and place the items of furniture in the room. Come up with two different design layouts.

*

Teacher Q + A

Q1. Calculate the area of the floor space in preparation for carpeting. 21m2

Q2. Bethan orders a carpet in the sale from “Comfort Carpets”. She wants a full fitted Saxony cut from the 4m roll. How much does this cost her? (nearest £) £259

Q3. Calculate the wastage. 3m2

Q4. What proportion of carpet is wasted? Express this as: (a) A fraction (b) A decimal (c) A percentage1/8 0.125 12.5%

Q5. Underlay costs £3.50/m2 and the cost of fitting the carpet is £30. Calculate the total cost of carpeting the floor (nearest £)£363

Q6. While Bethan waits for delivery of the carpet she starts to think about painting the room. Work out the perimeter of the room for her.19m

Q7. Calculate the area of the walls to be painted excluding the door and window. 43.7 – 5 = 38.7m2

Q8. 1 litre of wall paint covers an area of 12m2. Calculate the minimum number of tins needed if Bethan decides to give each wall two coats.

7

Q9. How many litre tins of ceiling paint will she need? (2 coats) 4

Q10. The cost of the wall paint was £7.50/can. The ceiling paint only cost her £18 as she bought a five litre tin. The gloss paint for door frames and skirting boards cost her £6.50. Calculate the total cost of painting the room (nearest £). £77

Q11. The prices of the items that she bought for her bedroom are shown in the diagram below. What is the ratio of the price of the bed, to the price of the chest of drawers? 3:1

Q12. What percentage of the large mirror price is the wall mirror price? 75%

Q13. What fraction of the single wardrobe price is the book case price? 3/5

Q14. Give the answer to Q13 as: (a) A decimal (b) A percentage0.6 60%

Q15. Calculate the total cost of all the items of furniture that Bethan bought from the catalogue. £780

Q16. The curtains for the window cost £60. Was Bethan over budget or under budget by the time she had made all the purchases and completely finished her bedroom. Show all your working.Over budget by £80.(£780 + £363 + £77 + £60 = £1280)

Q17. Make a scale drawing of the bedroom on the grid supplied and place the items of furniture in the room. Come up with two different design layouts.

Teacher Q + A

Student Question Sheets

Q1. Calculate the area of the floor space in preparation for carpeting.

Q2. Bethan orders a carpet in the sale from “Comfort Carpets”. She wants a full fitted Saxony cut from the 4m roll. How much does this cost her? (nearest £)

Q3. Calculate the wastage.

Q4. What proportion of carpet is wasted? Express this as: (a) A fraction (b) A decimal (c) A percentage

Q5. Underlay costs £3.50/m2 and the cost of fitting the carpet is £30. Calculate the total cost of carpeting the floor. (nearest £)

Q6. While Bethan waits for delivery of the carpet she starts to think about painting the room. Work out the perimeter of the room for her.

Q7. Calculate the area of the walls to be painted excluding the door and window.

Q8. 1 litre of wall paint covers an area of 12m2. Calculate the minimum number of tins needed if Bethan decides to give each wall two coats.Q9. How many litre tins of ceiling paint will she need? (2 coats)

Q10. The cost of the wall paint was £7.50/can. The ceiling paint only cost her £18 as she bought a five litre tin. The gloss paint for door frames and skirting boards cost her £6.50. Calculate the total cost of painting the room (nearest £).

Q11. The prices of the items that she bought for her bedroom are shown in the diagram below. What is the ratio of the price of the bed, to the price of the chest of drawers?

Q12. What percentage of the large mirror price is the wall mirror price?

Q13. What fraction of the single wardrobe price is the book case price?

Q14. Give the answer to Q13 as: (a) A decimal (b) A percentage

Q15. Calculate the total cost of all the items of furniture that Bethan bought from the catalogue.

Q16. The curtains for the window cost £60. Was Bethan over budget or under budget by the time she had made all the purchases and completely finished her bedroom. Show all your working.

Q17. Make a scale drawing of the bedroom on the grid supplied and place the items of furniture in the room. Come up with two different design layouts.

Student Question Sheet

Worksheet 1

Worksheet 1

Worksheet 2

Worksheet 2

Q17 Example Layout

Table

DSdrawers

Book Case

Mirror

One Possible Layout